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Finding the Third Proportional to 335,524.50 and 508,173.75

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Solution

The third proportional to 335,524.50 and 508,173.75 is: 769,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,524.50 : 508,173.75 = 508,173.75 : x
  2. Step 2: Convert to fraction form
    335,524.50/508,173.75 = 508,173.75/x
  3. Step 3: Cross multiply
    335,524.50x = 508,173.75 × 508,173.75
  4. Step 4: Simplify right side
    335,524.50x = 258,240,560,189.06
  5. Step 5: Solve for x
    x = 258,240,560,189.06/335,524.50
  6. Step 6: Final answer
    x = 769,662.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.